LaTeX Version of Equations in SCATMECH

Eq. scatter1

${\rm E}^{\rm scat} ~=~ \left(A\cos\theta_{\rm i}\cos\theta_{\rm s}\right)^{1/2} ~ \frac{\textstyle {e^{{\rm i}kR}}}{\textstyle R} ~ {\rm S} \cdot {\rm E}^{\rm inc} $

Eq. scatter2

$ f_{\rm r} \, = \, \frac{\textstyle{{\rm d}\Phi_{\rm s}}} {\textstyle{{\rm d}\Omega \, \Phi_{\rm i} \cos(\theta_{\rm s})}}$

Eq. matrix1

$ \left( \begin{array}{ccc} a&b&c \\ d&e&f \\ g&h&i \end{array} \right) $

Eq. matrix2

$ \left( \begin{array}{ccc} a_x & a_y & a_z \\ b_x & b_y & b_z \\ c_x & c_y & c_z \end{array} \right) $

Eq. matrix3

$ \left( \begin{array}{ccc} a_x \times b_x & a_x \times b_y & a_x \times b_z \\ a_y \times b_x & a_y \times b_y & a_y \times b_z \\ a_z \times b_x & a_z \times b_y & a_z \times b_z \end{array} \right) $

Eq. cvector1

$ \left(a_x a_x^* + a_y a_y^* + a_z a_z^*\right)^{1/2} $

Eq. x

$ x \, = \, \frac{\textstyle{2\pi r n_{\rm medium} }}{\textstyle\lambda} $

Eq. sphscat2

${\rm E}^{\rm scat} ~=~ \frac{\textstyle {e^{{\rm i}kR}}}{\textstyle -{\rm i}kR} ~ {\rm S} \cdot {\rm E}^{\rm inc} $

Eq. sphscat1